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serious [3.7K]
3 years ago
10

Triangle ABC is transformed to triangle A’B’C’ . Which equation shows the correct relationship between the measures of the angle

s of the two triangles ?
A - m(angle)ABC = m(angle)B’C’A’

B - m(angle)ABC = m(angle)C’A’B’

C - m(angle)BCA = m(angle)C’A’B’

D - m(angle)BCA = m(angle)B’C’A’

Mathematics
2 answers:
Lapatulllka [165]3 years ago
8 0
The answer would be D because BCA = B’C’A. You can find the answer by matching the order of the letters in the angle which.
Kitty [74]3 years ago
4 0

Answer:

Option D. m

Step-by-step explanation:

we know that

The transformation of the figure is a reflection, so after the transformation  the shape still has the same size, area, angles and line lengths.

the triangles ABC and A'B'C' are congruent

therefore

the corresponding sides and corresponding angles are equal

so

The relationship between the measures of the angles of the two triangles is

m

m

m

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To help plan its nursing staff schedule, a large hospital uses simple exponential smoothing to forecast the daily number of hosp
Morgarella [4.7K]

Answer:386

Step-by-step explanation:

We have given

Smoothing parameter \left ( \alpha \right )=0.56

Forecasted demand\left ( F_t\right )=385

Actual demand\left ( D_t\right )=386

And Forecast is given by

F_{t+1}=\alpha D_t+\left ( 1-\alpha \right )F_t

F_{t+1}=0.56\cdot 386+\left ( 1-0.56\right )385=385.56\approx 386

F_{t+2}=0.56\cdot 386+\left ( 1-0.56\right )385.56=385.806\approx 386

F_{t+3}=0.56\cdot 386+\left ( 1-0.56\right )385.806=385.914\approx 386

F_{t+4}=0.56\cdot 386+\left ( 1-0.56\right )385.914=385.962\approx 386

3 0
3 years ago
Angle A is circumscribed about circle O. What is the measure of A.
wlad13 [49]

Answer:

88

Step-by-step explanation:

Sum of angles in a quadrilateral= 360 degrees

<OCA=90degrees [ tangent perpendicular to the circle.

<OBA= 90degrees =tangent perpendicular

to the circle

<OCA + <OBA +92 + <OAB= 360

90 + 90 + 92 + <OAB = 360

272 + < OAB = 360

<0AB= 360- 272 =88 degrees

5 0
3 years ago
Trapezoid JKLM is is shown below. What is the length in centimeters, of KL
IrinaVladis [17]

The complete question is:

Trapezoid JKLM is shown below.

What is the length, in centimeters, of KL ?

A. 12 cm

B. 10 cm

C. 9 cm

D.  6 cm

The mentioned figure is attached.

Answer:

\large\boxed{option\text{ B. }(\overline{KL})=10cm}

Explanation:

1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.

2. The height 8 cm is one leg of the right triangle.

3. The other leg may be found by difference:

     \overline{ML} -\overline{JK}=15cm-9cm=6cm

4. Now you can use Pythagora's theorem:

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm

3 0
4 years ago
(4 + 2n) + (513 + 2).
yulyashka [42]

Answer:

2n + 519

Step-by-step explanation:

Hope this helps! :)

Good luck♥

8 0
3 years ago
Determine algebraically whether the function is even, odd, or neither even nor odd.
kobusy [5.1K]
The function is odd just substitute f(x) for f(-x) and replace all the x's with -x's then go back to the original problem and substitute f(x) for -f(x) and multiply the original problem by -1 and since f(-x) and -f(x) are equal, it is odd. if the original problem, f(x) and f(-x) were equal it would be even and if none of the three are equal it would be neither. the answer to this question is odd because f(-x) and -f(x) are equal.
7 0
3 years ago
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